Many college students obtain college degree credits by demonstrating their proficiency on exams developed as part of the College Level Examination Program (CLEP). Based on their scores on the College Qualification Test (CQT), it would be helpful if students could predict their scores on a corresponding portion of the CLEP exam. The following data (courtesy of R. W. Johnson) are for x = Total CQT score and y = Mathematical CLEP score.
(a) Find the least squares fit of a straight line.
(b) Construct a 95% confidence interval for the slope.

(c) Construct a 95% prediction interval for the CLEP score of a student who obtains a CQT score of 150.
(d) Repeat part (c) with x = 175 and x = 195.

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